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Finding the Third Proportional to 351,226.13 and 828,856.13

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Solution

The third proportional to 351,226.13 and 828,856.13 is: 1,956,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,226.13 : 828,856.13 = 828,856.13 : x
  2. Step 2: Convert to fraction form
    351,226.13/828,856.13 = 828,856.13/x
  3. Step 3: Cross multiply
    351,226.13x = 828,856.13 × 828,856.13
  4. Step 4: Simplify right side
    351,226.13x = 687,002,475,950.02
  5. Step 5: Solve for x
    x = 687,002,475,950.02/351,226.13
  6. Step 6: Final answer
    x = 1,956,011.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.